2425869770688 has 896 divisors, whose sum is σ = 9330215731200. Its totient is φ = 600155910144.

The previous prime is 2425869770609. The next prime is 2425869770713. The reversal of 2425869770688 is 8860779685242.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 307730395 + ... + 307738277.

It is an arithmetic number, because the mean of its divisors is an integer number (10413187200).

Almost surely, 2^{2425869770688} is an apocalyptic number.

2425869770688 is a gapful number since it is divisible by the number (28) 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 2425869770688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665107865600).

2425869770688 is an abundant number, since it is smaller than the sum of its proper divisors (6904345960512).

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

2425869770688 is a wasteful number, since it uses less digits than its factorization.

2425869770688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 2425869770688 in words is "two trillion, four hundred twenty-five billion, eight hundred sixty-nine million, seven hundred seventy thousand, six hundred eighty-eight".