2456663040 has 352 divisors, whose sum is σ = 9408994560. Its totient is φ = 604274688.

The previous prime is 2456663029. The next prime is 2456663089. The reversal of 2456663040 is 403666542.

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

It is a junction number, because it is equal to n+sod(n) for n = 2456662986 and 2456663004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796437 + ... + 1797803.

Almost surely, 2^2456663040 is an apocalyptic number.

2456663040 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 2456663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704497280).

2456663040 is an abundant number, since it is smaller than the sum of its proper divisors (6952331520).

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

2456663040 is a wasteful number, since it uses less digits than its factorization.

2456663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2456663040 is about 49564.7358512078. The cubic root of 2456663040 is about 1349.3207447084.

The spelling of 2456663040 in words is "two billion, four hundred fifty-six million, six hundred sixty-three thousand, forty".