2531377478784 has 512 divisors, whose sum is σ = 8533892505600. Its totient is φ = 645765120000.

The previous prime is 2531377478779. The next prime is 2531377478789. The reversal of 2531377478784 is 4878747731352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2531377478779) and next prime (2531377478789).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (2531377478789) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460164034 + ... + 460169534.

It is an arithmetic number, because the mean of its divisors is an integer number (16667758800).

Almost surely, 2^{2531377478784} is an apocalyptic number.

2531377478784 is a gapful number since it is divisible by the number (24) 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 2531377478784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266946252800).

2531377478784 is an abundant number, since it is smaller than the sum of its proper divisors (6002515026816).

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

2531377478784 is a wasteful number, since it uses less digits than its factorization.

2531377478784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812 (or 5800 counting only the distinct ones).

The product of its digits is 221276160, while the sum is 66.

The spelling of 2531377478784 in words is "two trillion, five hundred thirty-one billion, three hundred seventy-seven million, four hundred seventy-eight thousand, seven hundred eighty-four".