2102293440 has 560 divisors, whose sum is σ = 8550444672. Its totient is φ = 485720064.

The previous prime is 2102293397. The next prime is 2102293451. The reversal of 2102293440 is 443922012.

2102293440 is a `hidden beast` number, since 210 + 2 + 2 + 9 + 3 + 440 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5728137 + ... + 5728503.

Almost surely, 2^2102293440 is an apocalyptic number.

2102293440 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 2102293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275222336).

2102293440 is an abundant number, since it is smaller than the sum of its proper divisors (6448151232).

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

2102293440 is a wasteful number, since it uses less digits than its factorization.

2102293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2102293440 is about 45850.7736030702. The cubic root of 2102293440 is about 1281.0451749833.

The spelling of 2102293440 in words is "two billion, one hundred two million, two hundred ninety-three thousand, four hundred forty".