2642510772 has 108 divisors (see below), whose sum is σ = 7361286660. Its totient is φ = 798673920.

The previous prime is 2642510771. The next prime is 2642510831. The reversal of 2642510772 is 2770152462.

It is a happy number.

2642510772 is a `hidden beast` number, since 2 + 642 + 5 + 1 + 0 + 7 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 263607696 + 2378903076 = 16236^2 + 48774^2 .

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 (2642510771) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2844004 + ... + 2844932.

Almost surely, 2^2642510772 is an apocalyptic number.

2642510772 is a gapful number since it is divisible by the number (22) 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 2642510772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680643330).

2642510772 is an abundant number, since it is smaller than the sum of its proper divisors (4718775888).

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

2642510772 is a wasteful number, since it uses less digits than its factorization.

2642510772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2642510772 is about 51405.3574250778. The cubic root of 2642510772 is about 1382.5226510442.

The spelling of 2642510772 in words is "two billion, six hundred forty-two million, five hundred ten thousand, seven hundred seventy-two".