2261739110400 has 1920 divisors, whose sum is σ = 10485078912000. Its totient is φ = 464309452800.

The previous prime is 2261739110383. The next prime is 2261739110401. The reversal of 2261739110400 is 40119371622.

2261739110400 is a `hidden beast` number, since 2 + 2 + 617 + 39 + 1 + 1 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (2261739110401) 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, 27249868759 + ... + 27249868841.

It is an arithmetic number, because the mean of its divisors is an integer number (5460978600).

Almost surely, 2^{2261739110400} is an apocalyptic number.

2261739110400 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 2261739110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242539456000).

2261739110400 is an abundant number, since it is smaller than the sum of its proper divisors (8223339801600).

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

2261739110400 is an frugal number, since it uses more digits than its factorization.

2261739110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 2261739110400 in words is "two trillion, two hundred sixty-one billion, seven hundred thirty-nine million, one hundred ten thousand, four hundred".