2372768640 has 768 divisors, whose sum is σ = 9890899200. Its totient is φ = 537477120.

The previous prime is 2372768611. The next prime is 2372768641. The reversal of 2372768640 is 468672732.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2372768641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32503644 + ... + 32503716.

It is an arithmetic number, because the mean of its divisors is an integer number (12878775).

It is a vampire number, since it can be written as 27360 ⋅ 86724 (with its own digits).

Almost surely, 2^2372768640 is an apocalyptic number.

2372768640 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 2372768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945449600).

2372768640 is an abundant number, since it is smaller than the sum of its proper divisors (7518130560).

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

2372768640 is a wasteful number, since it uses less digits than its factorization.

2372768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2372768640 is about 48711.0730737889. The cubic root of 2372768640 is about 1333.7828573180.

The spelling of 2372768640 in words is "two billion, three hundred seventy-two million, seven hundred sixty-eight thousand, six hundred forty".