2701131840 has 448 divisors, whose sum is σ = 10538277120. Its totient is φ = 645857280.

The previous prime is 2701131821. The next prime is 2701131847. The reversal of 2701131840 is 481311072.

It is a super-2 number, since 2×2701131840² = 14592226434123571200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2701131847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9218734 + ... + 9219026.

It is an arithmetic number, because the mean of its divisors is an integer number (23522940).

Almost surely, 2^2701131840 is an apocalyptic number.

2701131840 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 2701131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269138560).

2701131840 is an abundant number, since it is smaller than the sum of its proper divisors (7837145280).

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

2701131840 is a wasteful number, since it uses less digits than its factorization.

2701131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2701131840 is about 51972.4142213925. The cubic root of 2701131840 is about 1392.6711983054.

It can be divided in two parts, 270113 and 1840, that added together give a triangular number (271953 = T₇₃₇).

The spelling of 2701131840 in words is "two billion, seven hundred one million, one hundred thirty-one thousand, eight hundred forty".