2361900480 has 224 divisors, whose sum is σ = 7775984448. Its totient is φ = 607027200.

The previous prime is 2361900467. The next prime is 2361900493. The reversal of 2361900480 is 840091632.

2361900480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2361900467) and next prime (2361900493).

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, 3103300 + ... + 3104060.

Almost surely, 2^2361900480 is an apocalyptic number.

2361900480 is a gapful number since it is divisible by the number (20) 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 2361900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887992224).

2361900480 is an abundant number, since it is smaller than the sum of its proper divisors (5414083968).

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

2361900480 is a wasteful number, since it uses less digits than its factorization.

2361900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2361900480 is about 48599.3876504633. The cubic root of 2361900480 is about 1331.7433335681.

The spelling of 2361900480 in words is "two billion, three hundred sixty-one million, nine hundred thousand, four hundred eighty".