2415490625520 has 480 divisors, whose sum is σ = 9678855513600. Its totient is φ = 548402088960.

The previous prime is 2415490625479. The next prime is 2415490625531. The reversal of 2415490625520 is 255260945142.

2415490625520 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 4 + 90 + 6 + 2 + 552 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 20216355 + ... + 20335485.

It is an arithmetic number, because the mean of its divisors is an integer number (20164282320).

Almost surely, 2^{2415490625520} is an apocalyptic number.

2415490625520 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 2415490625520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839427756800).

2415490625520 is an abundant number, since it is smaller than the sum of its proper divisors (7263364888080).

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

2415490625520 is a wasteful number, since it uses less digits than its factorization.

2415490625520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119315 (or 119297 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2415490625520 in words is "two trillion, four hundred fifteen billion, four hundred ninety million, six hundred twenty-five thousand, five hundred twenty".