1874288640 has 224 divisors, whose sum is σ = 6857268480. Its totient is φ = 428212224.

The previous prime is 1874288639. The next prime is 1874288659. The reversal of 1874288640 is 468824781.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1874288640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859071 + ... + 861249.

Almost surely, 2^1874288640 is an apocalyptic number.

1874288640 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 1874288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428634240).

1874288640 is an abundant number, since it is smaller than the sum of its proper divisors (4982979840).

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

1874288640 is an equidigital number, since it uses as much as digits as its factorization.

1874288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 1874288640 is about 43293.0553322354. The cubic root of 1874288640 is about 1232.9500739180.

The spelling of 1874288640 in words is "one billion, eight hundred seventy-four million, two hundred eighty-eight thousand, six hundred forty".