1952013888 has 168 divisors, whose sum is σ = 6139501056. Its totient is φ = 588057600.

The previous prime is 1952013883. The next prime is 1952013919. The reversal of 1952013888 is 8883102591.

It is a happy number.

1952013888 is a `hidden beast` number, since 19 + 520 + 1 + 38 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (1952013883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1209370 + ... + 1210982.

Almost surely, 2^1952013888 is an apocalyptic number.

1952013888 is a gapful number since it is divisible by the number (18) 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 1952013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069750528).

1952013888 is an abundant number, since it is smaller than the sum of its proper divisors (4187487168).

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

1952013888 is a wasteful number, since it uses less digits than its factorization.

1952013888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1952013888 is about 44181.6012385246. The cubic root of 1952013888 is about 1249.7629178098.

The spelling of 1952013888 in words is "one billion, nine hundred fifty-two million, thirteen thousand, eight hundred eighty-eight".