2383879680 has 640 divisors, whose sum is σ = 10449331200. Its totient is φ = 501645312.

The previous prime is 2383879657. The next prime is 2383879703. The reversal of 2383879680 is 869783832.

It is an interprime number because it is at equal distance from previous prime (2383879657) and next prime (2383879703).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6289731 + ... + 6290109.

It is an arithmetic number, because the mean of its divisors is an integer number (16327080).

Almost surely, 2^2383879680 is an apocalyptic number.

2383879680 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 2383879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224665600).

2383879680 is an abundant number, since it is smaller than the sum of its proper divisors (8065451520).

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

2383879680 is a wasteful number, since it uses less digits than its factorization.

2383879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2383879680 is about 48824.9903225797. The cubic root of 2383879680 is about 1335.8615320175.

The spelling of 2383879680 in words is "two billion, three hundred eighty-three million, eight hundred seventy-nine thousand, six hundred eighty".