2954637672 has 256 divisors, whose sum is σ = 9351936000. Its totient is φ = 774466560.

The previous prime is 2954637659. The next prime is 2954637713. The reversal of 2954637672 is 2767364592.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6017347 + ... + 6017837.

It is an arithmetic number, because the mean of its divisors is an integer number (36531000).

Almost surely, 2^2954637672 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 2954637672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675968000).

2954637672 is an abundant number, since it is smaller than the sum of its proper divisors (6397298328).

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

2954637672 is a wasteful number, since it uses less digits than its factorization.

2954637672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 563 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The square root of 2954637672 is about 54356.5789210469. The cubic root of 2954637672 is about 1434.9433092813.

The spelling of 2954637672 in words is "two billion, nine hundred fifty-four million, six hundred thirty-seven thousand, six hundred seventy-two".