2652762640 has 80 divisors (see below), whose sum is σ = 6750567936. Its totient is φ = 961459200.

The previous prime is 2652762587. The next prime is 2652762641. The reversal of 2652762640 is 462672562.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2652762593 and 2652762602.

It is not an unprimeable number, because it can be changed into a prime (2652762641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270625 + ... + 280255.

Almost surely, 2^2652762640 is an apocalyptic number.

2652762640 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 2652762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375283968).

2652762640 is an abundant number, since it is smaller than the sum of its proper divisors (4097805296).

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

2652762640 is a wasteful number, since it uses less digits than its factorization.

2652762640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 2652762640 is about 51504.9768469029. The cubic root of 2652762640 is about 1384.3082193021.

The spelling of 2652762640 in words is "two billion, six hundred fifty-two million, seven hundred sixty-two thousand, six hundred forty".