1653402240 has 256 divisors, whose sum is σ = 6692832000. Its totient is φ = 377892864.

The previous prime is 1653402209. The next prime is 1653402271. The reversal of 1653402240 is 422043561.

1653402240 is a `hidden beast` number, since 1 + 653 + 4 + 0 + 2 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1653402209) and next prime (1653402271).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 114126 + ... + 127794.

It is an arithmetic number, because the mean of its divisors is an integer number (26143875).

Almost surely, 2^1653402240 is an apocalyptic number.

1653402240 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 1653402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346416000).

1653402240 is an abundant number, since it is smaller than the sum of its proper divisors (5039429760).

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

1653402240 is a wasteful number, since it uses less digits than its factorization.

1653402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13704 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1653402240 is about 40662.0491367565. The cubic root of 1653402240 is about 1182.4773768108.

The spelling of 1653402240 in words is "one billion, six hundred fifty-three million, four hundred two thousand, two hundred forty".