1974248640 has 896 divisors, whose sum is σ = 8957706240. Its totient is φ = 403107840.

The previous prime is 1974248611. The next prime is 1974248729. The reversal of 1974248640 is 468424791.

1974248640 is a `hidden beast` number, since 1 + 97 + 42 + 486 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63685425 + ... + 63685455.

It is an arithmetic number, because the mean of its divisors is an integer number (9997440).

Almost surely, 2^1974248640 is an apocalyptic number.

1974248640 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 1974248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478853120).

1974248640 is an abundant number, since it is smaller than the sum of its proper divisors (6983457600).

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

1974248640 is an equidigital number, since it uses as much as digits as its factorization.

1974248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1974248640 is about 44432.5178219736. The cubic root of 1974248640 is about 1254.4902275053.

The spelling of 1974248640 in words is "one billion, nine hundred seventy-four million, two hundred forty-eight thousand, six hundred forty".