2425116672 has 288 divisors, whose sum is σ = 7941810240. Its totient is φ = 733224960.

The previous prime is 2425116653. The next prime is 2425116697. The reversal of 2425116672 is 2766115242.

It is a happy number.

2425116672 is a `hidden beast` number, since 2 + 425 + 1 + 166 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5474083 + ... + 5474525.

It is an arithmetic number, because the mean of its divisors is an integer number (27575730).

Almost surely, 2^2425116672 is an apocalyptic number.

2425116672 is a gapful number since it is divisible by the number (22) 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 2425116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970905120).

2425116672 is an abundant number, since it is smaller than the sum of its proper divisors (5516693568).

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

2425116672 is an equidigital number, since it uses as much as digits as its factorization.

2425116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 459 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2425116672 is about 49245.4736194099. The cubic root of 2425116672 is about 1343.5202369243.

The spelling of 2425116672 in words is "two billion, four hundred twenty-five million, one hundred sixteen thousand, six hundred seventy-two".