2408042520 has 768 divisors, whose sum is σ = 9906624000. Its totient is φ = 519561216.

The previous prime is 2408042489. The next prime is 2408042551. The reversal of 2408042520 is 252408042.

It is a happy number.

2408042520 is a `hidden beast` number, since 2 + 408 + 0 + 4 + 252 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2408042489) and next prime (2408042551).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40814251 + ... + 40814309.

It is an arithmetic number, because the mean of its divisors is an integer number (12899250).

Almost surely, 2^2408042520 is an apocalyptic number.

2408042520 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 2408042520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312000).

2408042520 is an abundant number, since it is smaller than the sum of its proper divisors (7498581480).

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

2408042520 is a wasteful number, since it uses less digits than its factorization.

2408042520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2408042520 is about 49071.8098300847. The cubic root of 2408042520 is about 1340.3597682542.

The spelling of 2408042520 in words is "two billion, four hundred eight million, forty-two thousand, five hundred twenty".