2631945456 has 120 divisors (see below), whose sum is σ = 8543909504. Its totient is φ = 740741760.

The previous prime is 2631945443. The next prime is 2631945461. The reversal of 2631945456 is 6545491362.

2631945456 is a `hidden beast` number, since 2 + 6 + 3 + 194 + 5 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48051 + ... + 87021.

Almost surely, 2^2631945456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631945456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271954752).

2631945456 is an abundant number, since it is smaller than the sum of its proper divisors (5911964048).

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

2631945456 is a wasteful number, since it uses less digits than its factorization.

2631945456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39059 (or 39050 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 2631945456 is about 51302.4897641430. The cubic root of 2631945456 is about 1380.6776508011.

The spelling of 2631945456 in words is "two billion, six hundred thirty-one million, nine hundred forty-five thousand, four hundred fifty-six".