2915351040 has 480 divisors, whose sum is σ = 11106146304. Its totient is φ = 650280960.

The previous prime is 2915351003. The next prime is 2915351059. The reversal of 2915351040 is 401535192.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2915350989 and 2915351007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22955457 + ... + 22955583.

Almost surely, 2^2915351040 is an apocalyptic number.

2915351040 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 2915351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553073152).

2915351040 is an abundant number, since it is smaller than the sum of its proper divisors (8190795264).

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

2915351040 is a wasteful number, since it uses less digits than its factorization.

2915351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 2915351040 is about 53993.9907767522. The cubic root of 2915351040 is about 1428.5549553910.

The spelling of 2915351040 in words is "two billion, nine hundred fifteen million, three hundred fifty-one thousand, forty".