2907142472640 has 2016 divisors, whose sum is σ = 12177358871040. Its totient is φ = 574523228160.

The previous prime is 2907142472471. The next prime is 2907142472657. The reversal of 2907142472640 is 462742417092.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2907142472640.

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, 67607964459 + ... + 67607964501.

Almost surely, 2^{2907142472640} is an apocalyptic number.

2907142472640 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 2907142472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088679435520).

2907142472640 is an abundant number, since it is smaller than the sum of its proper divisors (9270216398400).

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

2907142472640 is a wasteful number, since it uses less digits than its factorization.

2907142472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 2907142472640 in words is "two trillion, nine hundred seven billion, one hundred forty-two million, four hundred seventy-two thousand, six hundred forty".