2710290240 has 448 divisors, whose sum is σ = 11203960320. Its totient is φ = 603832320.

The previous prime is 2710290239. The next prime is 2710290259. The reversal of 2710290240 is 420920172.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2479134 + ... + 2480226.

It is an arithmetic number, because the mean of its divisors is an integer number (25008840).

Almost surely, 2^2710290240 is an apocalyptic number.

2710290240 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 2710290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601980160).

2710290240 is an abundant number, since it is smaller than the sum of its proper divisors (8493670080).

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

2710290240 is a wasteful number, since it uses less digits than its factorization.

2710290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2710290240 is about 52060.4479427521. The cubic root of 2710290240 is about 1394.2434098258.

The spelling of 2710290240 in words is "two billion, seven hundred ten million, two hundred ninety thousand, two hundred forty".