1653209040 has 240 divisors, whose sum is σ = 5995812672. Its totient is φ = 375717888.

The previous prime is 1653209029. The next prime is 1653209053. The reversal of 1653209040 is 409023561.

1653209040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1653208989 and 1653209007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3022047 + ... + 3022593.

Almost surely, 2^1653209040 is an apocalyptic number.

1653209040 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 1653209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997906336).

1653209040 is an abundant number, since it is smaller than the sum of its proper divisors (4342603632).

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

1653209040 is a wasteful number, since it uses less digits than its factorization.

1653209040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1653209040 is about 40659.6733877684. The cubic root of 1653209040 is about 1182.4313175352.

The spelling of 1653209040 in words is "one billion, six hundred fifty-three million, two hundred nine thousand, forty".