1953719540 has 24 divisors (see below), whose sum is σ = 4129988352. Its totient is φ = 776311200.

The previous prime is 1953719519. The next prime is 1953719563. The reversal of 1953719540 is 459173591.

It is a junction number, because it is equal to n+sod(n) for n = 1953719491 and 1953719500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320444 + ... + 326483.

It is an arithmetic number, because the mean of its divisors is an integer number (172082848).

Almost surely, 2^1953719540 is an apocalyptic number.

1953719540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1953719540 is an abundant number, since it is smaller than the sum of its proper divisors (2176268812).

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

1953719540 is a wasteful number, since it uses less digits than its factorization.

1953719540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647087 (or 647085 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 44.

The square root of 1953719540 is about 44200.8997645976. The cubic root of 1953719540 is about 1250.1268223324.

The spelling of 1953719540 in words is "one billion, nine hundred fifty-three million, seven hundred nineteen thousand, five hundred forty".