2415406356 has 108 divisors (see below), whose sum is σ = 6797044800. Its totient is φ = 722573280.

The previous prime is 2415406349. The next prime is 2415406373. The reversal of 2415406356 is 6536045142.

2415406356 is a `hidden beast` number, since 2 + 4 + 1 + 540 + 63 + 56 = 666.

2415406356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2415406356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340615 + ... + 347633.

It is an arithmetic number, because the mean of its divisors is an integer number (62935600).

Almost surely, 2^2415406356 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 2415406356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398522400).

2415406356 is an abundant number, since it is smaller than the sum of its proper divisors (4381638444).

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

2415406356 is a wasteful number, since it uses less digits than its factorization.

2415406356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2415406356 is about 49146.7837808335. The cubic root of 2415406356 is about 1341.7246590899.

The spelling of 2415406356 in words is "two billion, four hundred fifteen million, four hundred six thousand, three hundred fifty-six".