2540167520000 has 540 divisors, whose sum is σ = 7012811088360. Its totient is φ = 917283840000.

The previous prime is 2540167519931. The next prime is 2540167520003. The reversal of 2540167520000 is 257610452.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540167520003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3465439634 + ... + 3465440366.

Almost surely, 2^{2540167520000} is an apocalyptic number.

2540167520000 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 2540167520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506405544180).

2540167520000 is an abundant number, since it is smaller than the sum of its proper divisors (4472643568360).

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

2540167520000 is an equidigital number, since it uses as much as digits as its factorization.

2540167520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 2540167520000 in words is "two trillion, five hundred forty billion, one hundred sixty-seven million, five hundred twenty thousand".