2961131200 has 84 divisors (see below), whose sum is σ = 7423922160. Its totient is φ = 1162071040.

The previous prime is 2961131197. The next prime is 2961131227. The reversal of 2961131200 is 21311692.

It is a super-2 number, since 2×2961131200² = 17536595967226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67341 + ... + 102259.

Almost surely, 2^2961131200 is an apocalyptic number.

2961131200 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 2961131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711961080).

2961131200 is an abundant number, since it is smaller than the sum of its proper divisors (4462790960).

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

2961131200 is a wasteful number, since it uses less digits than its factorization.

2961131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34994 (or 34979 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 2961131200 is about 54416.2769766547. The cubic root of 2961131200 is about 1435.9937513145.

Adding to 2961131200 its reverse (21311692), we get a palindrome (2982442892).

The spelling of 2961131200 in words is "two billion, nine hundred sixty-one million, one hundred thirty-one thousand, two hundred".