2913925285440 has 672 divisors, whose sum is σ = 11383382424960. Its totient is φ = 705102299136.

The previous prime is 2913925285429. The next prime is 2913925285441. The reversal of 2913925285440 is 445825293192.

2913925285440 is a `hidden beast` number, since 2 + 9 + 1 + 3 + 92 + 5 + 2 + 8 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2913925285441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59617492 + ... + 59666348.

It is an arithmetic number, because the mean of its divisors is an integer number (16939557180).

Almost surely, 2^{2913925285440} is an apocalyptic number.

2913925285440 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 2913925285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691691212480).

2913925285440 is an abundant number, since it is smaller than the sum of its proper divisors (8469457139520).

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

2913925285440 is a wasteful number, since it uses less digits than its factorization.

2913925285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48961 (or 48939 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2913925285440 in words is "two trillion, nine hundred thirteen billion, nine hundred twenty-five million, two hundred eighty-five thousand, four hundred forty".