2457876960 has 576 divisors, whose sum is σ = 10857659904. Its totient is φ = 510105600.

The previous prime is 2457876937. The next prime is 2457876973. The reversal of 2457876960 is 696787542.

2457876960 is a `hidden beast` number, since 2 + 4 + 578 + 7 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2457876897 and 2457876906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993350 + ... + 2994170.

It is an arithmetic number, because the mean of its divisors is an integer number (18850104).

Almost surely, 2^2457876960 is an apocalyptic number.

2457876960 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 2457876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428829952).

2457876960 is an abundant number, since it is smaller than the sum of its proper divisors (8399782944).

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

2457876960 is a wasteful number, since it uses less digits than its factorization.

2457876960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 2457876960 is about 49576.9801419974. The cubic root of 2457876960 is about 1349.5429563961.

The spelling of 2457876960 in words is "two billion, four hundred fifty-seven million, eight hundred seventy-six thousand, nine hundred sixty".