2600792064 has 364 divisors, whose sum is σ = 8523030376. Its totient is φ = 788299776.

The previous prime is 2600792053. The next prime is 2600792081. The reversal of 2600792064 is 4602970062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 38817759 + ... + 38817825.

Almost surely, 2^2600792064 is an apocalyptic number.

2600792064 is a gapful number since it is divisible by the number (24) 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 2600792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261515188).

2600792064 is an abundant number, since it is smaller than the sum of its proper divisors (5922238312).

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

2600792064 is an frugal number, since it uses more digits than its factorization.

2600792064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2600792064 is about 50997.9613710195. The cubic root of 2600792064 is about 1375.2084865571.

The spelling of 2600792064 in words is "two billion, six hundred million, seven hundred ninety-two thousand, sixty-four".