1952672640 has 256 divisors, whose sum is σ = 6556723200. Its totient is φ = 493608960.

The previous prime is 1952672633. The next prime is 1952672663. The reversal of 1952672640 is 462762591.

1952672640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1952672592 and 1952672601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3154251 + ... + 3154869.

It is an arithmetic number, because the mean of its divisors is an integer number (25612200).

Almost surely, 2^1952672640 is an apocalyptic number.

1952672640 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 1952672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278361600).

1952672640 is an abundant number, since it is smaller than the sum of its proper divisors (4604050560).

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

1952672640 is a wasteful number, since it uses less digits than its factorization.

1952672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1952672640 is about 44189.0556586130. The cubic root of 1952672640 is about 1249.9034890820.

The spelling of 1952672640 in words is "one billion, nine hundred fifty-two million, six hundred seventy-two thousand, six hundred forty".