2102701440 has 256 divisors, whose sum is σ = 8111301120. Its totient is φ = 452296704.

The previous prime is 2102701421. The next prime is 2102701477. The reversal of 2102701440 is 441072012.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223879 + ... + 233081.

It is an arithmetic number, because the mean of its divisors is an integer number (31684770).

Almost surely, 2^2102701440 is an apocalyptic number.

2102701440 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 2102701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055650560).

2102701440 is an abundant number, since it is smaller than the sum of its proper divisors (6008599680).

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

2102701440 is a wasteful number, since it uses less digits than its factorization.

2102701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2102701440 is about 45855.2226033197. Note that the first 3 decimals coincide. The cubic root of 2102701440 is about 1281.1280420422.

Adding to 2102701440 its reverse (441072012), we get a palindrome (2543773452).

It can be divided in two parts, 210 and 2701440, that added together give a triangular number (2701650 = T₂₃₂₄).

The spelling of 2102701440 in words is "two billion, one hundred two million, seven hundred one thousand, four hundred forty".