2240926776000 has 1344 divisors, whose sum is σ = 9106546176000. Its totient is φ = 539092224000.

The previous prime is 2240926775939. The next prime is 2240926776031. The reversal of 2240926776000 is 6776290422.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4678343761 + ... + 4678344239.

It is an arithmetic number, because the mean of its divisors is an integer number (6775704000).

Almost surely, 2^{2240926776000} is an apocalyptic number.

2240926776000 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 2240926776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553273088000).

2240926776000 is an abundant number, since it is smaller than the sum of its proper divisors (6865619400000).

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

2240926776000 is a wasteful number, since it uses less digits than its factorization.

2240926776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 2240926776000 in words is "two trillion, two hundred forty billion, nine hundred twenty-six million, seven hundred seventy-six thousand".