2413537956 has 144 divisors (see below), whose sum is σ = 6416308080. Its totient is φ = 764375040.

The previous prime is 2413537933. The next prime is 2413537969. The reversal of 2413537956 is 6597353142.

2413537956 is a `hidden beast` number, since 24 + 1 + 3 + 537 + 95 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 580328100 + 1833209856 = 24090^2 + 42816^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10358416 + ... + 10358648.

It is an arithmetic number, because the mean of its divisors is an integer number (44557695).

Almost surely, 2^2413537956 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 2413537956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208154040).

2413537956 is an abundant number, since it is smaller than the sum of its proper divisors (4002770124).

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

2413537956 is a wasteful number, since it uses less digits than its factorization.

2413537956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 2413537956 is about 49127.7717386002. The cubic root of 2413537956 is about 1341.3786131046.

The spelling of 2413537956 in words is "two billion, four hundred thirteen million, five hundred thirty-seven thousand, nine hundred fifty-six".