2903627908272 has 640 divisors, whose sum is σ = 10162389565440. Its totient is φ = 692444712960.

The previous prime is 2903627908267. The next prime is 2903627908277. The reversal of 2903627908272 is 2728097263092.

It is an interprime number because it is at equal distance from previous prime (2903627908267) and next prime (2903627908277).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2903627908277) 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, 1063209147 + ... + 1063211877.

It is an arithmetic number, because the mean of its divisors is an integer number (15878733696).

Almost surely, 2^{2903627908272} 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 2903627908272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081194782720).

2903627908272 is an abundant number, since it is smaller than the sum of its proper divisors (7258761657168).

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

2903627908272 is a wasteful number, since it uses less digits than its factorization.

2903627908272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 2903627908272 in words is "two trillion, nine hundred three billion, six hundred twenty-seven million, nine hundred eight thousand, two hundred seventy-two".