2631260800 has 288 divisors, whose sum is σ = 7683375420. Its totient is φ = 887685120.

The previous prime is 2631260777. The next prime is 2631260839. The reversal of 2631260800 is 80621362.

It can be written as a sum of positive squares in 6 ways, for example, as 1506060864 + 1125199936 = 38808^2 + 33544^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15209514 + ... + 15209686.

Almost surely, 2^2631260800 is an apocalyptic number.

2631260800 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 2631260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841687710).

2631260800 is an abundant number, since it is smaller than the sum of its proper divisors (5052114620).

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

2631260800 is a wasteful number, since it uses less digits than its factorization.

2631260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2631260800 is about 51295.8165935586. The cubic root of 2631260800 is about 1380.5579204556.

The spelling of 2631260800 in words is "two billion, six hundred thirty-one million, two hundred sixty thousand, eight hundred".