1952880684480 has 1120 divisors, whose sum is σ = 8193556546560. Its totient is φ = 436341841920.

The previous prime is 1952880684473. The next prime is 1952880684497. The reversal of 1952880684480 is 844860882591.

1952880684480 is a `hidden beast` number, since 1 + 9 + 52 + 8 + 80 + 68 + 448 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 200434489 + ... + 200444231.

It is an arithmetic number, because the mean of its divisors is an integer number (7315675488).

Almost surely, 2^{1952880684480} is an apocalyptic number.

1952880684480 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 1952880684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096778273280).

1952880684480 is an abundant number, since it is smaller than the sum of its proper divisors (6240675862080).

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

1952880684480 is a wasteful number, since it uses less digits than its factorization.

1952880684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9839 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 1952880684480 in words is "one trillion, nine hundred fifty-two billion, eight hundred eighty million, six hundred eighty-four thousand, four hundred eighty".