1952991040 has 504 divisors, whose sum is σ = 6485912352. Its totient is φ = 553512960.

The previous prime is 1952991031. The next prime is 1952991077. The reversal of 1952991040 is 401992591.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1952990984 and 1952991002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29149087 + ... + 29149153.

Almost surely, 2^1952991040 is an apocalyptic number.

1952991040 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 1952991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242956176).

1952991040 is an abundant number, since it is smaller than the sum of its proper divisors (4532921312).

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

1952991040 is a wasteful number, since it uses less digits than its factorization.

1952991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 40.

The square root of 1952991040 is about 44192.6582137803. The cubic root of 1952991040 is about 1249.9714212133.

The spelling of 1952991040 in words is "one billion, nine hundred fifty-two million, nine hundred ninety-one thousand, forty".