2536406040 has 128 divisors (see below), whose sum is σ = 8706424320. Its totient is φ = 579072000.

The previous prime is 2536406009. The next prime is 2536406051. The reversal of 2536406040 is 406046352.

2536406040 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 a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2536405989 and 2536406007.

It is a congruent number.

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, 1217800 + ... + 1219880.

It is an arithmetic number, because the mean of its divisors is an integer number (68018940).

Almost surely, 2^2536406040 is an apocalyptic number.

2536406040 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 2536406040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353212160).

2536406040 is an abundant number, since it is smaller than the sum of its proper divisors (6170018280).

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

2536406040 is a wasteful number, since it uses less digits than its factorization.

2536406040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2536406040 is about 50362.7445638142. The cubic root of 2536406040 is about 1363.7651648358.

The spelling of 2536406040 in words is "two billion, five hundred thirty-six million, four hundred six thousand, forty".