2475946440 has 512 divisors, whose sum is σ = 9521971200. Its totient is φ = 573868800.

The previous prime is 2475946439. The next prime is 2475946469. The reversal of 2475946440 is 446495742.

2475946440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2475946440² = 12260621547497347200, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 29830639 + ... + 29830721.

It is an arithmetic number, because the mean of its divisors is an integer number (18597600).

Almost surely, 2^2475946440 is an apocalyptic number.

2475946440 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 2475946440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760985600).

2475946440 is an abundant number, since it is smaller than the sum of its proper divisors (7046024760).

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

2475946440 is a wasteful number, since it uses less digits than its factorization.

2475946440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2475946440 is about 49758.8830260487. The cubic root of 2475946440 is about 1352.8420128113.

The spelling of 2475946440 in words is "two billion, four hundred seventy-five million, nine hundred forty-six thousand, four hundred forty".