2979825408 has 252 divisors, whose sum is σ = 10196395888. Its totient is φ = 851005440.

The previous prime is 2979825397. The next prime is 2979825437. The reversal of 2979825408 is 8045289792.

2979825408 is a `hidden beast` number, since 2 + 9 + 7 + 98 + 2 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1305228 + ... + 1307508.

Almost surely, 2^2979825408 is an apocalyptic number.

2979825408 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 2979825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098197944).

2979825408 is an abundant number, since it is smaller than the sum of its proper divisors (7216570480).

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

2979825408 is an frugal number, since it uses more digits than its factorization.

2979825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 2979825408 is about 54587.7770934117. Note that the first 3 decimals coincide. The cubic root of 2979825408 is about 1439.0093185940.

The spelling of 2979825408 in words is "two billion, nine hundred seventy-nine million, eight hundred twenty-five thousand, four hundred eight".