2719561423040 has 1008 divisors, whose sum is σ = 8608050335808. Its totient is φ = 800748748800.

The previous prime is 2719561422971. The next prime is 2719561423063. The reversal of 2719561423040 is 403241659172.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2719561422982 and 2719561423000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13804880222 + ... + 13804880418.

It is an arithmetic number, because the mean of its divisors is an integer number (8539732476).

Almost surely, 2^{2719561423040} is an apocalyptic number.

2719561423040 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 2719561423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304025167904).

2719561423040 is an abundant number, since it is smaller than the sum of its proper divisors (5888488912768).

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

2719561423040 is a wasteful number, since it uses less digits than its factorization.

2719561423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 2719561423040 in words is "two trillion, seven hundred nineteen billion, five hundred sixty-one million, four hundred twenty-three thousand, forty".