2819975948790 has 512 divisors, whose sum is σ = 9609071689728. Its totient is φ = 510672384000.

The previous prime is 2819975948773. The next prime is 2819975948807. The reversal of 2819975948790 is 978495799182.

It is an interprime number because it is at equal distance from previous prime (2819975948773) and next prime (2819975948807).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38131189 + ... + 38205071.

It is an arithmetic number, because the mean of its divisors is an integer number (18767718144).

Almost surely, 2^{2819975948790} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2819975948790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804535844864).

2819975948790 is an abundant number, since it is smaller than the sum of its proper divisors (6789095740938).

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

2819975948790 is a wasteful number, since it uses less digits than its factorization.

2819975948790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73996.

The product of its (nonzero) digits is 823011840, while the sum is 78.

The spelling of 2819975948790 in words is "two trillion, eight hundred nineteen billion, nine hundred seventy-five million, nine hundred forty-eight thousand, seven hundred ninety".