2610632080728 has 576 divisors, whose sum is σ = 9168967342080. Its totient is φ = 679315092480.

The previous prime is 2610632080717. The next prime is 2610632080739. The reversal of 2610632080728 is 8270802360162.

2610632080728 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 632 + 0 + 8 + 0 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2610632080717) and next prime (2610632080739).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222308025 + ... + 222319767.

It is an arithmetic number, because the mean of its divisors is an integer number (15918346080).

Almost surely, 2^{2610632080728} is an apocalyptic number.

2610632080728 is a gapful number since it is divisible by the number (28) 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 2610632080728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584483671040).

2610632080728 is an abundant number, since it is smaller than the sum of its proper divisors (6558335261352).

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

2610632080728 is a wasteful number, since it uses less digits than its factorization.

2610632080728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11850 (or 11803 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2610632080728 in words is "two trillion, six hundred ten billion, six hundred thirty-two million, eighty thousand, seven hundred twenty-eight".