2102009976 has 192 divisors, whose sum is σ = 6698764800. Its totient is φ = 588556800.

The previous prime is 2102009969. The next prime is 2102009981. The reversal of 2102009976 is 6799002012.

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 self number, because there is not a number n which added to its sum of digits gives 2102009976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615265 + ... + 618671.

It is an arithmetic number, because the mean of its divisors is an integer number (34889400).

Almost surely, 2^2102009976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349382400).

2102009976 is an abundant number, since it is smaller than the sum of its proper divisors (4596754824).

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

2102009976 is a wasteful number, since it uses less digits than its factorization.

2102009976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2102009976 is about 45847.6823405502. The cubic root of 2102009976 is about 1280.9875955631.

The spelling of 2102009976 in words is "two billion, one hundred two million, nine thousand, nine hundred seventy-six".