2263790138400 has 864 divisors, whose sum is σ = 9536189644800. Its totient is φ = 513324241920.

The previous prime is 2263790138279. The next prime is 2263790138411. The reversal of 2263790138400 is 48310973622.

2263790138400 is a `hidden beast` number, since 2 + 2 + 637 + 9 + 0 + 1 + 3 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172815051 + ... + 172828149.

Almost surely, 2^{2263790138400} is an apocalyptic number.

2263790138400 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 2263790138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768094822400).

2263790138400 is an abundant number, since it is smaller than the sum of its proper divisors (7272399506400).

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

2263790138400 is a wasteful number, since it uses less digits than its factorization.

2263790138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13268 (or 13243 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2263790138400 in words is "two trillion, two hundred sixty-three billion, seven hundred ninety million, one hundred thirty-eight thousand, four hundred".