2562646020 has 96 divisors (see below), whose sum is σ = 7935096960. Its totient is φ = 612725760.

The previous prime is 2562646019. The next prime is 2562646043. The reversal of 2562646020 is 206462652.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21586 + ... + 74774.

It is an arithmetic number, because the mean of its divisors is an integer number (82657260).

Almost surely, 2^2562646020 is an apocalyptic number.

2562646020 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 2562646020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967548480).

2562646020 is an abundant number, since it is smaller than the sum of its proper divisors (5372450940).

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

2562646020 is a wasteful number, since it uses less digits than its factorization.

2562646020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53285 (or 53283 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2562646020 is about 50622.5840905025. The cubic root of 2562646020 is about 1368.4519107331.

The spelling of 2562646020 in words is "two billion, five hundred sixty-two million, six hundred forty-six thousand, twenty".