2642666400 has 432 divisors, whose sum is σ = 10351399968. Its totient is φ = 628992000.

The previous prime is 2642666381. The next prime is 2642666401. The reversal of 2642666400 is 46662462.

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

It is not an unprimeable number, because it can be changed into a prime (2642666401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4830927 + ... + 4831473.

It is an arithmetic number, because the mean of its divisors is an integer number (23961574).

Almost surely, 2^2642666400 is an apocalyptic number.

2642666400 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 2642666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175699984).

2642666400 is an abundant number, since it is smaller than the sum of its proper divisors (7708733568).

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

2642666400 is a wasteful number, since it uses less digits than its factorization.

2642666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2642666400 is about 51406.8711360651. The cubic root of 2642666400 is about 1382.5497912693.

The spelling of 2642666400 in words is "two billion, six hundred forty-two million, six hundred sixty-six thousand, four hundred".