1977993024 has 224 divisors, whose sum is σ = 6515404800. Its totient is φ = 516741120.

The previous prime is 1977993011. The next prime is 1977993079. The reversal of 1977993024 is 4203997791.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739209 + ... + 741879.

Almost surely, 2^1977993024 is an apocalyptic number.

1977993024 is a gapful number since it is divisible by the number (14) 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 1977993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257702400).

1977993024 is an abundant number, since it is smaller than the sum of its proper divisors (4537411776).

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

1977993024 is a wasteful number, since it uses less digits than its factorization.

1977993024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The square root of 1977993024 is about 44474.6334892150. The cubic root of 1977993024 is about 1255.2828204473.

The spelling of 1977993024 in words is "one billion, nine hundred seventy-seven million, nine hundred ninety-three thousand, twenty-four".