2405071872 has 528 divisors, whose sum is σ = 8848280320. Its totient is φ = 631701504.

The previous prime is 2405071871. The next prime is 2405071897. The reversal of 2405071872 is 2781705042.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405071871) 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, 55931883 + ... + 55931925.

Almost surely, 2^2405071872 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 2405071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424140160).

2405071872 is an abundant number, since it is smaller than the sum of its proper divisors (6443208448).

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

2405071872 is a wasteful number, since it uses less digits than its factorization.

2405071872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2405071872 is about 49041.5321130978. The cubic root of 2405071872 is about 1339.8083694185.

The spelling of 2405071872 in words is "two billion, four hundred five million, seventy-one thousand, eight hundred seventy-two".