2770284158640 has 120 divisors (see below), whose sum is σ = 9310143978720. Its totient is φ = 738217869312.

The previous prime is 2770284158639. The next prime is 2770284158647. The reversal of 2770284158640 is 468514820772.

2770284158640 is a `hidden beast` number, since 27 + 70 + 28 + 415 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2770284158640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2770284158647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350892 + ... + 2379851.

It is an arithmetic number, because the mean of its divisors is an integer number (77584533156).

Almost surely, 2^{2770284158640} is an apocalyptic number.

2770284158640 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 2770284158640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655071989360).

2770284158640 is an abundant number, since it is smaller than the sum of its proper divisors (6539859820080).

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

2770284158640 is a wasteful number, since it uses less digits than its factorization.

2770284158640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732171 (or 2732162 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 2770284158640 in words is "two trillion, seven hundred seventy billion, two hundred eighty-four million, one hundred fifty-eight thousand, six hundred forty".