2391401456640 has 2112 divisors, whose sum is σ = 11028685766400. Its totient is φ = 486930382848.

The previous prime is 2391401456573. The next prime is 2391401456641. The reversal of 2391401456640 is 466541041932.

2391401456640 is a `hidden beast` number, since 2 + 3 + 9 + 1 + 40 + 1 + 4 + 566 + 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 not an unprimeable number, because it can be changed into a prime (2391401456641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2187923934 + ... + 2187925026.

Almost surely, 2^{2391401456640} is an apocalyptic number.

2391401456640 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 2391401456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514342883200).

2391401456640 is an abundant number, since it is smaller than the sum of its proper divisors (8637284309760).

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

2391401456640 is a wasteful number, since it uses less digits than its factorization.

2391401456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2391401456640 in words is "two trillion, three hundred ninety-one billion, four hundred one million, four hundred fifty-six thousand, six hundred forty".