2610925978896 has 225 divisors, whose sum is σ = 7733639389749. Its totient is φ = 822292477056.

The previous prime is 2610925978891. The next prime is 2610925978897. The reversal of 2610925978896 is 6988795290162.

The square root of 2610925978896 is 1615836.

It is a perfect power (a square), and thus also a powerful number.

2610925978896 is a `hidden beast` number, since 26 + 1 + 0 + 9 + 2 + 597 + 8 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1419195690000 + 1191730288896 = 1191300^2 + 1091664^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2610925978891) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6999801366 + ... + 6999801738.

Almost surely, 2^{2610925978896} is an apocalyptic number.

2610925978896 is the 1615836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2610925978896

2610925978896 is an abundant number, since it is smaller than the sum of its proper divisors (5122713410853).

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

2610925978896 is an frugal number, since it uses more digits than its factorization.

2610925978896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 2610925978896 in words is "two trillion, six hundred ten billion, nine hundred twenty-five million, nine hundred seventy-eight thousand, eight hundred ninety-six".