2981557440 has 84 divisors (see below), whose sum is σ = 10255325184. Its totient is φ = 795081216.

The previous prime is 2981557429. The next prime is 2981557489. The reversal of 2981557440 is 447551892.

2981557440 is a `hidden beast` number, since 2 + 98 + 1 + 557 + 4 + 4 + 0 = 666.

2981557440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2981557440³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 514752 + ... + 520511.

Almost surely, 2^2981557440 is an apocalyptic number.

2981557440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2981557440 is an abundant number, since it is smaller than the sum of its proper divisors (7273767744).

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

2981557440 is a wasteful number, since it uses less digits than its factorization.

2981557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035286 (or 1035273 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 2981557440 is about 54603.6394391436. The cubic root of 2981557440 is about 1439.2880740127.

The spelling of 2981557440 in words is "two billion, nine hundred eighty-one million, five hundred fifty-seven thousand, four hundred forty".