2835049920192 has 896 divisors, whose sum is σ = 10153076244480. Its totient is φ = 758559375360.

The previous prime is 2835049920173. The next prime is 2835049920193. The reversal of 2835049920192 is 2910299405382.

2835049920192 is a `hidden beast` number, since 2 + 83 + 50 + 499 + 20 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2835049920193) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3232667658 + ... + 3232668534.

Almost surely, 2^{2835049920192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2835049920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076538122240).

2835049920192 is an abundant number, since it is smaller than the sum of its proper divisors (7318026324288).

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

2835049920192 is a wasteful number, since it uses less digits than its factorization.

2835049920192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2835049920192 in words is "two trillion, eight hundred thirty-five billion, forty-nine million, nine hundred twenty thousand, one hundred ninety-two".