2957519040 has 224 divisors, whose sum is σ = 11078529024. Its totient is φ = 654151680.

The previous prime is 2957519027. The next prime is 2957519083. The reversal of 2957519040 is 409157592.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2957518983 and 2957519001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201222 + ... + 215418.

Almost surely, 2^2957519040 is an apocalyptic number.

2957519040 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 2957519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539264512).

2957519040 is an abundant number, since it is smaller than the sum of its proper divisors (8121009984).

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

2957519040 is a wasteful number, since it uses less digits than its factorization.

2957519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255 (or 14245 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 2957519040 is about 54383.0767794541. The cubic root of 2957519040 is about 1435.4096108380.

The spelling of 2957519040 in words is "two billion, nine hundred fifty-seven million, five hundred nineteen thousand, forty".