2790630144 has 180 divisors, whose sum is σ = 8465900520. Its totient is φ = 914042880.

The previous prime is 2790630127. The next prime is 2790630163. The reversal of 2790630144 is 4410360972.

2790630144 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 630 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2790630099 and 2790630108.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1222284 + ... + 1224564.

Almost surely, 2^2790630144 is an apocalyptic number.

2790630144 is a gapful number since it is divisible by the number (24) 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 2790630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232950260).

2790630144 is an abundant number, since it is smaller than the sum of its proper divisors (5675270376).

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

2790630144 is an equidigital number, since it uses as much as digits as its factorization.

2790630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2790630144 is about 52826.4152105743. The cubic root of 2790630144 is about 1407.8857948002.

The spelling of 2790630144 in words is "two billion, seven hundred ninety million, six hundred thirty thousand, one hundred forty-four".