2562101620 has 96 divisors (see below), whose sum is σ = 6251460768. Its totient is φ = 873480192.

The previous prime is 2562101617. The next prime is 2562101621. The reversal of 2562101620 is 261012652.

It can be written as a sum of positive squares in 16 ways, for example, as 30603024 + 2531498596 = 5532^2 + 50314^2 .

It is a super-2 number, since 2×2562101620² = 13128729422413248800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2562101621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228792 + ... + 239728.

It is an arithmetic number, because the mean of its divisors is an integer number (65119383).

Almost surely, 2^2562101620 is an apocalyptic number.

2562101620 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 2562101620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125730384).

2562101620 is an abundant number, since it is smaller than the sum of its proper divisors (3689359148).

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

2562101620 is a wasteful number, since it uses less digits than its factorization.

2562101620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11029 (or 11027 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2562101620 is about 50617.2067581766. The cubic root of 2562101620 is about 1368.3550007457.

The spelling of 2562101620 in words is "two billion, five hundred sixty-two million, one hundred one thousand, six hundred twenty".