2262978938880 has 432 divisors, whose sum is σ = 8620946809020. Its totient is φ = 548598251520.

The previous prime is 2262978938833. The next prime is 2262978938923. The reversal of 2262978938880 is 888398792622.

2262978938880 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 97 + 89 + 388 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2226445968384 + 36532970496 = 1492128^2 + 191136^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2262978938799 and 2262978938808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11049894 + ... + 11252826.

Almost surely, 2^{2262978938880} is an apocalyptic number.

2262978938880 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 2262978938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310473404510).

2262978938880 is an abundant number, since it is smaller than the sum of its proper divisors (6357967870140).

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

2262978938880 is a wasteful number, since it uses less digits than its factorization.

2262978938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202988 (or 202954 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 2262978938880 in words is "two trillion, two hundred sixty-two billion, nine hundred seventy-eight million, nine hundred thirty-eight thousand, eight hundred eighty".