2652542640 has 600 divisors, whose sum is σ = 10775872800. Its totient is φ = 602173440.

The previous prime is 2652542611. The next prime is 2652542647. The reversal of 2652542640 is 462452562.

2652542640 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 5 + 4 + 2 + 640 = 666.

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 = 2652542595 and 2652542604.

It is not an unprimeable number, because it can be changed into a prime (2652542647) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13329261 + ... + 13329459.

It is an arithmetic number, because the mean of its divisors is an integer number (17959788).

Almost surely, 2^2652542640 is an apocalyptic number.

2652542640 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 2652542640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387936400).

2652542640 is an abundant number, since it is smaller than the sum of its proper divisors (8123330160).

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

2652542640 is a wasteful number, since it uses less digits than its factorization.

2652542640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2652542640 is about 51502.8410866818. The cubic root of 2652542640 is about 1384.2699502383.

The spelling of 2652542640 in words is "two billion, six hundred fifty-two million, five hundred forty-two thousand, six hundred forty".