2536963377920 has 288 divisors, whose sum is σ = 6369525227520. Its totient is φ = 966984744960.

The previous prime is 2536963377911. The next prime is 2536963377941. The reversal of 2536963377920 is 297733696352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1463913374 + ... + 1463915106.

It is an arithmetic number, because the mean of its divisors is an integer number (22116407040).

Almost surely, 2^{2536963377920} is an apocalyptic number.

2536963377920 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 2536963377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184762613760).

2536963377920 is an abundant number, since it is smaller than the sum of its proper divisors (3832561849600).

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

2536963377920 is a wasteful number, since it uses less digits than its factorization.

2536963377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 62.

The spelling of 2536963377920 in words is "two trillion, five hundred thirty-six billion, nine hundred sixty-three million, three hundred seventy-seven thousand, nine hundred twenty".