2770378240 has 160 divisors (see below), whose sum is σ = 7837784064. Its totient is φ = 919019520.

The previous prime is 2770378213. The next prime is 2770378249. The reversal of 2770378240 is 428730772.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2770378193 and 2770378202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2770378249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553027 + ... + 558013.

Almost surely, 2^2770378240 is an apocalyptic number.

2770378240 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 2770378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918892032).

2770378240 is an abundant number, since it is smaller than the sum of its proper divisors (5067405824).

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

2770378240 is an equidigital number, since it uses as much as digits as its factorization.

2770378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The square root of 2770378240 is about 52634.3826790056. The cubic root of 2770378240 is about 1404.4717964846.

The spelling of 2770378240 in words is "two billion, seven hundred seventy million, three hundred seventy-eight thousand, two hundred forty".