2900242800000 has 2304 divisors, whose sum is σ = 13298673830400. Its totient is φ = 609223680000.

The previous prime is 2900242799959. The next prime is 2900242800019. The reversal of 2900242800000 is 82420092.

It is a super-2 number, since 2×2900242800000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12776399887 + ... + 12776400113.

It is an arithmetic number, because the mean of its divisors is an integer number (5771993850).

Almost surely, 2^{2900242800000} is an apocalyptic number.

2900242800000 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 2900242800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649336915200).

2900242800000 is an abundant number, since it is smaller than the sum of its proper divisors (10398431030400).

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

2900242800000 is an equidigital number, since it uses as much as digits as its factorization.

2900242800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 2900242800000 in words is "two trillion, nine hundred billion, two hundred forty-two million, eight hundred thousand".