2402916848640 has 2816 divisors, whose sum is σ = 11545473024000. Its totient is φ = 468202291200.

The previous prime is 2402916848609. The next prime is 2402916848653. The reversal of 2402916848640 is 468486192042.

It is a happy number.

2402916848640 is a `hidden beast` number, since 2 + 40 + 29 + 1 + 68 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8866851705 + ... + 8866851975.

Almost surely, 2^{2402916848640} is an apocalyptic number.

2402916848640 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 2402916848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772736512000).

2402916848640 is an abundant number, since it is smaller than the sum of its proper divisors (9142556175360).

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

2402916848640 is a wasteful number, since it uses less digits than its factorization.

2402916848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2402916848640 in words is "two trillion, four hundred two billion, nine hundred sixteen million, eight hundred forty-eight thousand, six hundred forty".