2610628673536 has 135 divisors (see below), whose sum is σ = 5659443464493. Its totient is φ = 1203664650240.

The previous prime is 2610628673533. The next prime is 2610628673561. The reversal of 2610628673536 is 6353768260162.

The square root of 2610628673536 is 1615744.

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

It can be written as a sum of positive squares in only one way, i.e., 386187673600 + 2224440999936 = 621440^2 + 1491456^2 .

It is not an unprimeable number, because it can be changed into a prime (2610628673533) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2688597531 + ... + 2688598501.

Almost surely, 2^{2610628673536} is an apocalyptic number.

2610628673536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2610628673536 is the 1615744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2610628673536

2610628673536 is an abundant number, since it is smaller than the sum of its proper divisors (3048814790957).

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

2610628673536 is an frugal number, since it uses more digits than its factorization.

2610628673536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 2610628673536 in words is "two trillion, six hundred ten billion, six hundred twenty-eight million, six hundred seventy-three thousand, five hundred thirty-six".