2621879064 has 384 divisors, whose sum is σ = 8956569600. Its totient is φ = 707616000.

The previous prime is 2621879063. The next prime is 2621879081. The reversal of 2621879064 is 4609781262.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2621879063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20014279 + ... + 20014409.

It is an arithmetic number, because the mean of its divisors is an integer number (23324400).

Almost surely, 2^2621879064 is an apocalyptic number.

2621879064 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 2621879064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478284800).

2621879064 is an abundant number, since it is smaller than the sum of its proper divisors (6334690536).

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

2621879064 is a wasteful number, since it uses less digits than its factorization.

2621879064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2621879064 is about 51204.2875548523. The cubic root of 2621879064 is about 1378.9151776870.

The spelling of 2621879064 in words is "two billion, six hundred twenty-one million, eight hundred seventy-nine thousand, sixty-four".