2540872152 has 384 divisors, whose sum is σ = 8982005760. Its totient is φ = 655050240.

The previous prime is 2540872133. The next prime is 2540872153. The reversal of 2540872152 is 2512780452.

It is a happy number.

2540872152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2540872152² = 12912062585618222208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540872153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9375777 + ... + 9376047.

It is an arithmetic number, because the mean of its divisors is an integer number (23390640).

Almost surely, 2^2540872152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540872152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491002880).

2540872152 is an abundant number, since it is smaller than the sum of its proper divisors (6441133608).

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

2540872152 is a wasteful number, since it uses less digits than its factorization.

2540872152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2540872152 is about 50407.0645048886. The cubic root of 2540872152 is about 1364.5651362004.

The spelling of 2540872152 in words is "two billion, five hundred forty million, eight hundred seventy-two thousand, one hundred fifty-two".