2361668400 has 840 divisors, whose sum is σ = 10587759840. Its totient is φ = 492687360.

The previous prime is 2361668341. The next prime is 2361668411. The reversal of 2361668400 is 48661632.

2361668400 is a `hidden beast` number, since 236 + 16 + 6 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 26535556 + ... + 26535644.

It is an arithmetic number, because the mean of its divisors is an integer number (12604476).

Almost surely, 2^2361668400 is an apocalyptic number.

2361668400 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 2361668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293879920).

2361668400 is an abundant number, since it is smaller than the sum of its proper divisors (8226091440).

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

2361668400 is a wasteful number, since it uses less digits than its factorization.

2361668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2361668400 is about 48596.9999074017. Note that the first 4 decimals coincide. The cubic root of 2361668400 is about 1331.6997131702.

It can be divided in two parts, 2361 and 668400, that added together give a square (670761 = 819²).

The spelling of 2361668400 in words is "two billion, three hundred sixty-one million, six hundred sixty-eight thousand, four hundred".