2535157440 has 280 divisors, whose sum is σ = 9214299072. Its totient is φ = 661340160.

The previous prime is 2535157433. The next prime is 2535157447. The reversal of 2535157440 is 447515352.

2535157440 is a `hidden beast` number, since 2 + 535 + 15 + 74 + 40 = 666.

2535157440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2535157433) and next prime (2535157447).

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

It is a junction number, because it is equal to n+sod(n) for n = 2535157395 and 2535157404.

It is not an unprimeable number, because it can be changed into a prime (2535157447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1217200 + ... + 1219280.

Almost surely, 2^2535157440 is an apocalyptic number.

2535157440 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 2535157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607149536).

2535157440 is an abundant number, since it is smaller than the sum of its proper divisors (6679141632).

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

2535157440 is a wasteful number, since it uses less digits than its factorization.

2535157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2535157440 is about 50350.3469700061. The cubic root of 2535157440 is about 1363.5413472704.

The spelling of 2535157440 in words is "two billion, five hundred thirty-five million, one hundred fifty-seven thousand, four hundred forty".