2541315114320 has 80 divisors (see below), whose sum is σ = 5953251623760. Its totient is φ = 1008840671232.

The previous prime is 2541315114209. The next prime is 2541315114419. The reversal of 2541315114320 is 234115131452.

It can be written as a sum of positive squares in 8 ways, for example, as 798513811216 + 1742801303104 = 893596^2 + 1320152^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44611616 + ... + 44668544.

It is an arithmetic number, because the mean of its divisors is an integer number (74415645297).

Almost surely, 2^{2541315114320} is an apocalyptic number.

2541315114320 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 2541315114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976625811880).

2541315114320 is an abundant number, since it is smaller than the sum of its proper divisors (3411936509440).

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

2541315114320 is a wasteful number, since it uses less digits than its factorization.

2541315114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61152 (or 61146 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 2541315114320 in words is "two trillion, five hundred forty-one billion, three hundred fifteen million, one hundred fourteen thousand, three hundred twenty".