1952523840 has 112 divisors (see below), whose sum is σ = 6399336960. Its totient is φ = 503869440.

The previous prime is 1952523827. The next prime is 1952523877. The reversal of 1952523840 is 483252591.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3045 + ... + 62564.

Almost surely, 2^1952523840 is an apocalyptic number.

1952523840 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 1952523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199668480).

1952523840 is an abundant number, since it is smaller than the sum of its proper divisors (4446813120).

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

1952523840 is a wasteful number, since it uses less digits than its factorization.

1952523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65660 (or 65650 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 1952523840 is about 44187.3719517239. The cubic root of 1952523840 is about 1249.8717393732.

It can be divided in two parts, 19525 and 23840, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 1952523840 in words is "one billion, nine hundred fifty-two million, five hundred twenty-three thousand, eight hundred forty".