2405627952 has 240 divisors, whose sum is σ = 8056671840. Its totient is φ = 612347904.

The previous prime is 2405627951. The next prime is 2405627953. The reversal of 2405627952 is 2597265042.

It is an interprime number because it is at equal distance from previous prime (2405627951) and next prime (2405627953).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405627951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885348 + ... + 888060.

It is an arithmetic number, because the mean of its divisors is an integer number (33569466).

Almost surely, 2^2405627952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2405627952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028335920).

2405627952 is an abundant number, since it is smaller than the sum of its proper divisors (5651043888).

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

2405627952 is a wasteful number, since it uses less digits than its factorization.

2405627952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2405627952 is about 49047.2012657195. The cubic root of 2405627952 is about 1339.9116211111.

The spelling of 2405627952 in words is "two billion, four hundred five million, six hundred twenty-seven thousand, nine hundred fifty-two".