1653379980 has 192 divisors, whose sum is σ = 5394923520. Its totient is φ = 370573056.

The previous prime is 1653379957. The next prime is 1653380011. The reversal of 1653379980 is 899733561.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7414149 + ... + 7414371.

It is an arithmetic number, because the mean of its divisors is an integer number (28098560).

Almost surely, 2^1653379980 is an apocalyptic number.

1653379980 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 1653379980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697461760).

1653379980 is an abundant number, since it is smaller than the sum of its proper divisors (3741543540).

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

1653379980 is a wasteful number, since it uses less digits than its factorization.

1653379980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 1653379980 is about 40661.7754162309. The cubic root of 1653379980 is about 1182.4720701641.

The spelling of 1653379980 in words is "one billion, six hundred fifty-three million, three hundred seventy-nine thousand, nine hundred eighty".