2621441664 has 64 divisors (see below), whose sum is σ = 7736904000. Its totient is φ = 873812736.

The previous prime is 2621441663. The next prime is 2621441699. The reversal of 2621441664 is 4661441262.

2621441664 is a `hidden beast` number, since 26 + 214 + 416 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2621441663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375804 + ... + 382715.

It is an arithmetic number, because the mean of its divisors is an integer number (120889125).

Almost surely, 2^2621441664 is an apocalyptic number.

2621441664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2621441664 is an abundant number, since it is smaller than the sum of its proper divisors (5115462336).

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

2621441664 is an equidigital number, since it uses as much as digits as its factorization.

2621441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758542 (or 758524 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2621441664 is about 51200.0162499974. The cubic root of 2621441664 is about 1378.8384933667.

The spelling of 2621441664 in words is "two billion, six hundred twenty-one million, four hundred forty-one thousand, six hundred sixty-four".