1956812880 has 320 divisors, whose sum is σ = 7135257600. Its totient is φ = 438312960.

The previous prime is 1956812827. The next prime is 1956812909. The reversal of 1956812880 is 882186591.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2647551 + ... + 2648289.

It is an arithmetic number, because the mean of its divisors is an integer number (22297680).

Almost surely, 2^1956812880 is an apocalyptic number.

1956812880 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 1956812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567628800).

1956812880 is an abundant number, since it is smaller than the sum of its proper divisors (5178444720).

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

1956812880 is a wasteful number, since it uses less digits than its factorization.

1956812880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The square root of 1956812880 is about 44235.8777464628. The cubic root of 1956812880 is about 1250.7862530745.

The spelling of 1956812880 in words is "one billion, nine hundred fifty-six million, eight hundred twelve thousand, eight hundred eighty".