2575153980 has 288 divisors, whose sum is σ = 9455846400. Its totient is φ = 554148864.

The previous prime is 2575153957. The next prime is 2575154039. The reversal of 2575153980 is 893515752.

2575153980 is a `hidden beast` number, since 2 + 57 + 515 + 3 + 9 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6296016 + ... + 6296424.

It is an arithmetic number, because the mean of its divisors is an integer number (32832800).

Almost surely, 2^2575153980 is an apocalyptic number.

2575153980 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 2575153980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727923200).

2575153980 is an abundant number, since it is smaller than the sum of its proper divisors (6880692420).

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

2575153980 is a wasteful number, since it uses less digits than its factorization.

2575153980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 2575153980 is about 50745.9750128027. The cubic root of 2575153980 is about 1370.6747133863.

The spelling of 2575153980 in words is "two billion, five hundred seventy-five million, one hundred fifty-three thousand, nine hundred eighty".