1952590816 has 24 divisors (see below), whose sum is σ = 4193633304. Its totient is φ = 887541120.

The previous prime is 1952590813. The next prime is 1952590817. The reversal of 1952590816 is 6180952591.

It is a super-3 number, since 3×1952590816³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952590813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2773215 + ... + 2773918.

It is an arithmetic number, because the mean of its divisors is an integer number (174734721).

Almost surely, 2^1952590816 is an apocalyptic number.

1952590816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1952590816 is an abundant number, since it is smaller than the sum of its proper divisors (2241042488).

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

1952590816 is a wasteful number, since it uses less digits than its factorization.

1952590816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547154 (or 5547146 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 46.

The square root of 1952590816 is about 44188.1298088073. The cubic root of 1952590816 is about 1249.8860303557.

The spelling of 1952590816 in words is "one billion, nine hundred fifty-two million, five hundred ninety thousand, eight hundred sixteen".