2425342832640 has 1664 divisors, whose sum is σ = 10714551429120. Its totient is φ = 506805092352.

The previous prime is 2425342832621. The next prime is 2425342832663. The reversal of 2425342832640 is 462382435242.

2425342832640 is a `hidden beast` number, since 2 + 4 + 2 + 534 + 28 + 32 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7900139367 + ... + 7900139673.

Almost surely, 2^{2425342832640} is an apocalyptic number.

2425342832640 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 2425342832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357275714560).

2425342832640 is an abundant number, since it is smaller than the sum of its proper divisors (8289208596480).

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

2425342832640 is a wasteful number, since it uses less digits than its factorization.

2425342832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 2425342832640 in words is "two trillion, four hundred twenty-five billion, three hundred forty-two million, eight hundred thirty-two thousand, six hundred forty".