1952509440 has 160 divisors (see below), whose sum is σ = 7133829120. Its totient is φ = 446275584.

The previous prime is 1952509439. The next prime is 1952509451. The reversal of 1952509440 is 449052591.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1952509440² = 7624586226578227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35601 + ... + 71919.

It is an arithmetic number, because the mean of its divisors is an integer number (44586432).

Almost surely, 2^1952509440 is an apocalyptic number.

1952509440 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 1952509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566914560).

1952509440 is an abundant number, since it is smaller than the sum of its proper divisors (5181319680).

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

1952509440 is an equidigital number, since it uses as much as digits as its factorization.

1952509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36352 (or 36336 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 1952509440 is about 44187.2090089428. The cubic root of 1952509440 is about 1249.8686667351.

The spelling of 1952509440 in words is "one billion, nine hundred fifty-two million, five hundred nine thousand, four hundred forty".