2263151439900 has 576 divisors, whose sum is σ = 7969514918400. Its totient is φ = 547576381440.

The previous prime is 2263151439869. The next prime is 2263151439919. The reversal of 2263151439900 is 99341513622.

2263151439900 is a `hidden beast` number, since 2 + 2 + 63 + 151 + 439 + 9 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1606210396 + ... + 1606211804.

It is an arithmetic number, because the mean of its divisors is an integer number (13835963400).

Almost surely, 2^{2263151439900} is an apocalyptic number.

2263151439900 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 2263151439900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984757459200).

2263151439900 is an abundant number, since it is smaller than the sum of its proper divisors (5706363478500).

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

2263151439900 is a wasteful number, since it uses less digits than its factorization.

2263151439900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 2263151439900 in words is "two trillion, two hundred sixty-three billion, one hundred fifty-one million, four hundred thirty-nine thousand, nine hundred".