2413234736640 has 3200 divisors, whose sum is σ = 11499104010240. Its totient is φ = 469540012032.

The previous prime is 2413234736609. The next prime is 2413234736677. The reversal of 2413234736640 is 466374323142.

2413234736640 is a `hidden beast` number, since 2 + 4 + 13 + 234 + 7 + 366 + 40 = 666.

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 319 ways as a sum of consecutive naturals, for example, 19001848257 + ... + 19001848383.

Almost surely, 2^{2413234736640} is an apocalyptic number.

2413234736640 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 2413234736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749552005120).

2413234736640 is an abundant number, since it is smaller than the sum of its proper divisors (9085869273600).

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

2413234736640 is a wasteful number, since it uses less digits than its factorization.

2413234736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 2413234736640 in words is "two trillion, four hundred thirteen billion, two hundred thirty-four million, seven hundred thirty-six thousand, six hundred forty".