2945557824 has 112 divisors (see below), whose sum is σ = 8516453376. Its totient is φ = 891072000.

The previous prime is 2945557799. The next prime is 2945557829. The reversal of 2945557824 is 4287555492.

It is a super-2 number, since 2×2945557824² = 17352621789055229952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2945557829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2219049 + ... + 2220375.

Almost surely, 2^2945557824 is an apocalyptic number.

2945557824 is a gapful number since it is divisible by the number (24) 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 2945557824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258226688).

2945557824 is an abundant number, since it is smaller than the sum of its proper divisors (5570895552).

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

2945557824 is a wasteful number, since it uses less digits than its factorization.

2945557824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2394 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 51.

The square root of 2945557824 is about 54272.9935050574. The cubic root of 2945557824 is about 1433.4719008395.

The spelling of 2945557824 in words is "two billion, nine hundred forty-five million, five hundred fifty-seven thousand, eight hundred twenty-four".