2502798144 has 448 divisors, whose sum is σ = 8789164032. Its totient is φ = 609638400.

The previous prime is 2502798139. The next prime is 2502798149. The reversal of 2502798144 is 4418972052.

It is an interprime number because it is at equal distance from previous prime (2502798139) and next prime (2502798149).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2502798096 and 2502798105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502798149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19707009 + ... + 19707135.

Almost surely, 2^2502798144 is an apocalyptic number.

2502798144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394582016).

2502798144 is an abundant number, since it is smaller than the sum of its proper divisors (6286365888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2502798144 is a wasteful number, since it uses less digits than its factorization.

2502798144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2502798144 is about 50027.9736147688. The cubic root of 2502798144 is about 1357.7149749253.

The spelling of 2502798144 in words is "two billion, five hundred two million, seven hundred ninety-eight thousand, one hundred forty-four".