1974826560 has 224 divisors, whose sum is σ = 7543434240. Its totient is φ = 427603968.

The previous prime is 1974826559. The next prime is 1974826571. The reversal of 1974826560 is 656284791.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 119947 + ... + 135413.

Almost surely, 2^1974826560 is an apocalyptic number.

1974826560 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 1974826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771717120).

1974826560 is an abundant number, since it is smaller than the sum of its proper divisors (5568607680).

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

1974826560 is a wasteful number, since it uses less digits than its factorization.

1974826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15513 (or 15503 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 1974826560 is about 44439.0206912799. The cubic root of 1974826560 is about 1254.6126241556.

The spelling of 1974826560 in words is "one billion, nine hundred seventy-four million, eight hundred twenty-six thousand, five hundred sixty".