2461131200 has 84 divisors (see below), whose sum is σ = 6606506472. Its totient is φ = 894950400.

The previous prime is 2461131173. The next prime is 2461131221. The reversal of 2461131200 is 21311642.

It is a super-2 number, since 2×2461131200² = 12114333567226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 52319 + ... + 87518.

Almost surely, 2^2461131200 is an apocalyptic number.

2461131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2461131200 is an abundant number, since it is smaller than the sum of its proper divisors (4145375272).

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

2461131200 is a wasteful number, since it uses less digits than its factorization.

2461131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139870 (or 139855 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2461131200 is about 49609.7893565373. The cubic root of 2461131200 is about 1350.1382940174.

Adding to 2461131200 its reverse (21311642), we get a palindrome (2482442842).

The spelling of 2461131200 in words is "two billion, four hundred sixty-one million, one hundred thirty-one thousand, two hundred".