2915952480 has 384 divisors, whose sum is σ = 11744732160. Its totient is φ = 661893120.

The previous prime is 2915952469. The next prime is 2915952509. The reversal of 2915952480 is 842595192.

It is a happy number.

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

It is a congruent number.

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, 6380412 + ... + 6380868.

It is an arithmetic number, because the mean of its divisors is an integer number (30585240).

Almost surely, 2^2915952480 is an apocalyptic number.

2915952480 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 2915952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872366080).

2915952480 is an abundant number, since it is smaller than the sum of its proper divisors (8828779680).

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

2915952480 is a wasteful number, since it uses less digits than its factorization.

2915952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2915952480 is about 53999.5599982074. The cubic root of 2915952480 is about 1428.6531861019.

The spelling of 2915952480 in words is "two billion, nine hundred fifteen million, nine hundred fifty-two thousand, four hundred eighty".