1952872740 has 360 divisors, whose sum is σ = 7588848960. Its totient is φ = 411630336.

The previous prime is 1952872717. The next prime is 1952872751. The reversal of 1952872740 is 472782591.

It is a happy number.

1952872740 is a `hidden beast` number, since 19 + 528 + 72 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1915951 + ... + 1916969.

It is an arithmetic number, because the mean of its divisors is an integer number (21080136).

Almost surely, 2^1952872740 is an apocalyptic number.

1952872740 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 1952872740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794424480).

1952872740 is an abundant number, since it is smaller than the sum of its proper divisors (5635976220).

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

1952872740 is a wasteful number, since it uses less digits than its factorization.

1952872740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1952872740 is about 44191.3197358938. The cubic root of 1952872740 is about 1249.9461822163.

The spelling of 1952872740 in words is "one billion, nine hundred fifty-two million, eight hundred seventy-two thousand, seven hundred forty".