2221904137440 has 960 divisors, whose sum is σ = 8016699237120. Its totient is φ = 516717527040.

The previous prime is 2221904137433. The next prime is 2221904137457. The reversal of 2221904137440 is 447314091222.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33162748287 + ... + 33162748353.

It is an arithmetic number, because the mean of its divisors is an integer number (8350728372).

Almost surely, 2^{2221904137440} is an apocalyptic number.

2221904137440 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 2221904137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008349618560).

2221904137440 is an abundant number, since it is smaller than the sum of its proper divisors (5794795099680).

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

2221904137440 is an equidigital number, since it uses as much as digits as its factorization.

2221904137440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 2221904137440 in words is "two trillion, two hundred twenty-one billion, nine hundred four million, one hundred thirty-seven thousand, four hundred forty".