2601210400 has 36 divisors (see below), whose sum is σ = 6350206842. Its totient is φ = 1040483840.

The previous prime is 2601210377. The next prime is 2601210413. The reversal of 2601210400 is 40121062.

It can be written as a sum of positive squares in 3 ways, for example, as 1010476944 + 1590733456 = 31788^2 + 39884^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1624957 + ... + 1626556.

Almost surely, 2^2601210400 is an apocalyptic number.

2601210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2601210400 is an abundant number, since it is smaller than the sum of its proper divisors (3748996442).

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

2601210400 is a wasteful number, since it uses less digits than its factorization.

2601210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251533 (or 3251520 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2601210400 is about 51002.0627033849. The cubic root of 2601210400 is about 1375.2822164517.

Adding to 2601210400 its reverse (40121062), we get a palindrome (2641331462).

The spelling of 2601210400 in words is "two billion, six hundred one million, two hundred ten thousand, four hundred".