1974140160 has 144 divisors (see below), whose sum is σ = 6459203520. Its totient is φ = 513556480.

The previous prime is 1974140111. The next prime is 1974140167. The reversal of 1974140160 is 610414791.

1974140160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1974140167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151171 + ... + 163709.

It is an arithmetic number, because the mean of its divisors is an integer number (44855580).

Almost surely, 2^1974140160 is an apocalyptic number.

1974140160 is a gapful number since it is divisible by the number (10) 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 1974140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229601760).

1974140160 is an abundant number, since it is smaller than the sum of its proper divisors (4485063360).

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

1974140160 is a wasteful number, since it uses less digits than its factorization.

1974140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12604 (or 12590 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1974140160 is about 44431.2970776231. The cubic root of 1974140160 is about 1254.4672500562.

The spelling of 1974140160 in words is "one billion, nine hundred seventy-four million, one hundred forty thousand, one hundred sixty".