2654542800 has 960 divisors, whose sum is σ = 12106447360. Its totient is φ = 537477120.

The previous prime is 2654542783. The next prime is 2654542819. The reversal of 2654542800 is 82454562.

It is a happy number.

2654542800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36363564 + ... + 36363636.

Almost surely, 2^2654542800 is an apocalyptic number.

2654542800 is a gapful number since it is divisible by the number (20) 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 2654542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053223680).

2654542800 is an abundant number, since it is smaller than the sum of its proper divisors (9451904560).

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

2654542800 is a wasteful number, since it uses less digits than its factorization.

2654542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2654542800 is about 51522.2553854157. The cubic root of 2654542800 is about 1384.6178008505.

The spelling of 2654542800 in words is "two billion, six hundred fifty-four million, five hundred forty-two thousand, eight hundred".