2573677260 has 576 divisors, whose sum is σ = 10682219520. Its totient is φ = 501811200.

The previous prime is 2573677241. The next prime is 2573677261. The reversal of 2573677260 is 627763752.

2573677260 is a `hidden beast` number, since 2 + 573 + 6 + 7 + 72 + 6 + 0 = 666.

2573677260 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2573677260² = 13247629277282215200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2573677261) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7775295 + ... + 7775625.

It is an arithmetic number, because the mean of its divisors is an integer number (18545520).

Almost surely, 2^2573677260 is an apocalyptic number.

2573677260 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 2573677260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341109760).

2573677260 is an abundant number, since it is smaller than the sum of its proper divisors (8108542260).

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

2573677260 is a wasteful number, since it uses less digits than its factorization.

2573677260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 2573677260 is about 50731.4228067773. The cubic root of 2573677260 is about 1370.4126591805.

The spelling of 2573677260 in words is "two billion, five hundred seventy-three million, six hundred seventy-seven thousand, two hundred sixty".