1980761460 has 96 divisors (see below), whose sum is σ = 6009075072. Its totient is φ = 485560320.

The previous prime is 1980761429. The next prime is 1980761473. The reversal of 1980761460 is 641670891.

It is a super-2 number, since 2×1980761460² = 7846831922842663200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 21280 + ... + 66440.

It is an arithmetic number, because the mean of its divisors is an integer number (62594532).

Almost surely, 2^1980761460 is an apocalyptic number.

1980761460 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 1980761460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004537536).

1980761460 is an abundant number, since it is smaller than the sum of its proper divisors (4028313612).

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

1980761460 is a wasteful number, since it uses less digits than its factorization.

1980761460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45233 (or 45231 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1980761460 is about 44505.7463705531. The cubic root of 1980761460 is about 1255.8681865335.

The spelling of 1980761460 in words is "one billion, nine hundred eighty million, seven hundred sixty-one thousand, four hundred sixty".