2219981783040 has 960 divisors, whose sum is σ = 9099684249600. Its totient is φ = 502983032832.

The previous prime is 2219981783009. The next prime is 2219981783069. The reversal of 2219981783040 is 403871899122.

2219981783040 is a `hidden beast` number, since 2 + 2 + 199 + 81 + 78 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1966325196 + ... + 1966326324.

It is an arithmetic number, because the mean of its divisors is an integer number (9478837760).

Almost surely, 2^{2219981783040} is an apocalyptic number.

2219981783040 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 2219981783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549842124800).

2219981783040 is an abundant number, since it is smaller than the sum of its proper divisors (6879702466560).

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

2219981783040 is a wasteful number, since it uses less digits than its factorization.

2219981783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2219981783040 in words is "two trillion, two hundred nineteen billion, nine hundred eighty-one million, seven hundred eighty-three thousand, forty".