1978690560 has 528 divisors, whose sum is σ = 8064852480. Its totient is φ = 409436160.

The previous prime is 1978690547. The next prime is 1978690577. The reversal of 1978690560 is 650968791.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1978690560² = 7830432664466227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8278921 + ... + 8279159.

Almost surely, 2^1978690560 is an apocalyptic number.

1978690560 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 1978690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032426240).

1978690560 is an abundant number, since it is smaller than the sum of its proper divisors (6086161920).

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

1978690560 is a wasteful number, since it uses less digits than its factorization.

1978690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 1978690560 is about 44482.4747512995. The cubic root of 1978690560 is about 1255.4303609155.

The spelling of 1978690560 in words is "one billion, nine hundred seventy-eight million, six hundred ninety thousand, five hundred sixty".