2083978624 has 192 divisors, whose sum is σ = 5298879600. Its totient is φ = 808980480.

The previous prime is 2083978613. The next prime is 2083978661. The reversal of 2083978624 is 4268793802.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4973487 + ... + 4973905.

Almost surely, 2^2083978624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083978624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649439800).

2083978624 is an abundant number, since it is smaller than the sum of its proper divisors (3214900976).

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

2083978624 is a wasteful number, since it uses less digits than its factorization.

2083978624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 2083978624 is about 45650.6147165621. The cubic root of 2083978624 is about 1277.3142383302.

The spelling of 2083978624 in words is "two billion, eighty-three million, nine hundred seventy-eight thousand, six hundred twenty-four".