2996825610240 has 1152 divisors, whose sum is σ = 13429815759360. Its totient is φ = 622677196800.

The previous prime is 2996825610211. The next prime is 2996825610241. The reversal of 2996825610240 is 420165286992.

2996825610240 is a `hidden beast` number, since 2 + 99 + 68 + 256 + 1 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2996825610241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191592820 + ... + 191608460.

It is an arithmetic number, because the mean of its divisors is an integer number (11657826180).

Almost surely, 2^{2996825610240} is an apocalyptic number.

2996825610240 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 2996825610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714907879680).

2996825610240 is an abundant number, since it is smaller than the sum of its proper divisors (10432990149120).

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

2996825610240 is a wasteful number, since it uses less digits than its factorization.

2996825610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15701 (or 15669 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2996825610240 in words is "two trillion, nine hundred ninety-six billion, eight hundred twenty-five million, six hundred ten thousand, two hundred forty".