2301979680 has 576 divisors, whose sum is σ = 10553856768. Its totient is φ = 441262080.

The previous prime is 2301979621. The next prime is 2301979681. The reversal of 2301979680 is 869791032.

It is a super-3 number, since 3×2301979680³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2301979681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1440642 + ... + 1442238.

It is an arithmetic number, because the mean of its divisors is an integer number (18322668).

Almost surely, 2^2301979680 is an apocalyptic number.

2301979680 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 2301979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276928384).

2301979680 is an abundant number, since it is smaller than the sum of its proper divisors (8251877088).

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

2301979680 is a wasteful number, since it uses less digits than its factorization.

2301979680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2301979680 is about 47978.9503845176. The cubic root of 2301979680 is about 1320.3847363360.

The spelling of 2301979680 in words is "two billion, three hundred one million, nine hundred seventy-nine thousand, six hundred eighty".