2456974080 has 576 divisors, whose sum is σ = 9960330240. Its totient is φ = 567705600.

The previous prime is 2456974031. The next prime is 2456974081. The reversal of 2456974080 is 804796542.

It is a happy number.

2456974080 is a `hidden beast` number, since 2 + 4 + 569 + 7 + 4 + 0 + 80 = 666.

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

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 (2456974081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8743540 + ... + 8743820.

It is an arithmetic number, because the mean of its divisors is an integer number (17292240).

Almost surely, 2^2456974080 is an apocalyptic number.

2456974080 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 2456974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980165120).

2456974080 is an abundant number, since it is smaller than the sum of its proper divisors (7503356160).

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

2456974080 is a wasteful number, since it uses less digits than its factorization.

2456974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2456974080 is about 49567.8734665912. The cubic root of 2456974080 is about 1349.3776884849.

The spelling of 2456974080 in words is "two billion, four hundred fifty-six million, nine hundred seventy-four thousand, eighty".