2262037680 has 360 divisors, whose sum is σ = 9228596832. Its totient is φ = 486309888.

The previous prime is 2262037669. The next prime is 2262037681. The reversal of 2262037680 is 867302622.

2262037680 is a `hidden beast` number, since 22 + 620 + 3 + 7 + 6 + 8 + 0 = 666.

2262037680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2262037681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1455784 + ... + 1457336.

Almost surely, 2^2262037680 is an apocalyptic number.

2262037680 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 2262037680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614298416).

2262037680 is an abundant number, since it is smaller than the sum of its proper divisors (6966559152).

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

2262037680 is a wasteful number, since it uses less digits than its factorization.

2262037680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2262037680 is about 47560.8839278666. The cubic root of 2262037680 is about 1312.7034046662.

The spelling of 2262037680 in words is "two billion, two hundred sixty-two million, thirty-seven thousand, six hundred eighty".