2940089724000 has 3840 divisors, whose sum is σ = 13809041326080. Its totient is φ = 602173440000.

The previous prime is 2940089723957. The next prime is 2940089724053. The reversal of 2940089724000 is 4279800492.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 33034715956 + ... + 33034716044.

It is an arithmetic number, because the mean of its divisors is an integer number (3596104512).

Almost surely, 2^{2940089724000} is an apocalyptic number.

2940089724000 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 2940089724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904520663040).

2940089724000 is an abundant number, since it is smaller than the sum of its proper divisors (10868951602080).

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

2940089724000 is a wasteful number, since it uses less digits than its factorization.

2940089724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2940089724000 in words is "two trillion, nine hundred forty billion, eighty-nine million, seven hundred twenty-four thousand".