1953900240 has 80 divisors (see below), whose sum is σ = 6252504576. Its totient is φ = 504230400.

The previous prime is 1953900229. The next prime is 1953900241. The reversal of 1953900240 is 420093591.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1953900240² = 7635452295744115200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1953900241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123871 + ... + 138750.

Almost surely, 2^1953900240 is an apocalyptic number.

1953900240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1953900240 is an abundant number, since it is smaller than the sum of its proper divisors (4298604336).

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

1953900240 is a wasteful number, since it uses less digits than its factorization.

1953900240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262668 (or 262662 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1953900240 is about 44202.9437933720. The cubic root of 1953900240 is about 1250.1653626565.

The spelling of 1953900240 in words is "one billion, nine hundred fifty-three million, nine hundred thousand, two hundred forty".