2574120960 has 576 divisors, whose sum is σ = 9934928640. Its totient is φ = 613416960.

The previous prime is 2574120959. The next prime is 2574120973. The reversal of 2574120960 is 690214752.

2574120960 is a `hidden beast` number, since 2 + 574 + 1 + 20 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2574120960² = 13252197433422643200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48568294 + ... + 48568346.

It is an arithmetic number, because the mean of its divisors is an integer number (17248140).

Almost surely, 2^2574120960 is an apocalyptic number.

2574120960 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 2574120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967464320).

2574120960 is an abundant number, since it is smaller than the sum of its proper divisors (7360807680).

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

2574120960 is a wasteful number, since it uses less digits than its factorization.

2574120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2574120960 is about 50735.7956476490. The cubic root of 2574120960 is about 1370.4914073550.

The spelling of 2574120960 in words is "two billion, five hundred seventy-four million, one hundred twenty thousand, nine hundred sixty".