2102876640 has 240 divisors, whose sum is σ = 7466271120. Its totient is φ = 557383680.

The previous prime is 2102876639. The next prime is 2102876641. The reversal of 2102876640 is 466782012.

2102876640 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 8 + 7 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2102876639) and next prime (2102876641).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2102876595 and 2102876604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102876641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2734176 + ... + 2734944.

It is an arithmetic number, because the mean of its divisors is an integer number (31109463).

Almost surely, 2^2102876640 is an apocalyptic number.

2102876640 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 2102876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733135560).

2102876640 is an abundant number, since it is smaller than the sum of its proper divisors (5363394480).

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

2102876640 is a wasteful number, since it uses less digits than its factorization.

2102876640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2102876640 is about 45857.1329238975. The cubic root of 2102876640 is about 1281.1636228424.

The spelling of 2102876640 in words is "two billion, one hundred two million, eight hundred seventy-six thousand, six hundred forty".