2609728638000 has 320 divisors, whose sum is σ = 9402532199424. Its totient is φ = 617230080000.

The previous prime is 2609728637969. The next prime is 2609728638043. The reversal of 2609728638000 is 8368279062.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2223789 + ... + 3188211.

Almost surely, 2^{2609728638000} is an apocalyptic number.

2609728638000 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 2609728638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701266099712).

2609728638000 is an abundant number, since it is smaller than the sum of its proper divisors (6792803561424).

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

2609728638000 is a wasteful number, since it uses less digits than its factorization.

2609728638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964501 (or 964485 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 2609728638000 in words is "two trillion, six hundred nine billion, seven hundred twenty-eight million, six hundred thirty-eight thousand".