2780400927240 has 512 divisors, whose sum is σ = 10183026585600. Its totient is φ = 671984087040.

The previous prime is 2780400927211. The next prime is 2780400927319. The reversal of 2780400927240 is 427290040872.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56028279 + ... + 56077881.

It is an arithmetic number, because the mean of its divisors is an integer number (19888723800).

Almost surely, 2^{2780400927240} is an apocalyptic number.

2780400927240 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 2780400927240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091513292800).

2780400927240 is an abundant number, since it is smaller than the sum of its proper divisors (7402625658360).

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

2780400927240 is a wasteful number, since it uses less digits than its factorization.

2780400927240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49754 (or 49744 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 2780400927240 in words is "two trillion, seven hundred eighty billion, four hundred million, nine hundred twenty-seven thousand, two hundred forty".