2740010700 has 576 divisors, whose sum is σ = 10367336448. Its totient is φ = 544051200.

The previous prime is 2740010687. The next prime is 2740010711. The reversal of 2740010700 is 70100472.

2740010700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2740010700² = 15015317272228980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38591665 + ... + 38591735.

It is an arithmetic number, because the mean of its divisors is an integer number (17998848).

Almost surely, 2^2740010700 is an apocalyptic number.

2740010700 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 2740010700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183668224).

2740010700 is an abundant number, since it is smaller than the sum of its proper divisors (7627325748).

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

2740010700 is a wasteful number, since it uses less digits than its factorization.

2740010700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 2740010700 is about 52345.1115196061. Note that the first 3 decimals coincide. The cubic root of 2740010700 is about 1399.3212185692.

The spelling of 2740010700 in words is "two billion, seven hundred forty million, ten thousand, seven hundred".