2100978000 has 560 divisors, whose sum is σ = 8372624832. Its totient is φ = 505440000.

The previous prime is 2100977981. The next prime is 2100978007. The reversal of 2100978000 is 8790012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100978007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16037935 + ... + 16038065.

Almost surely, 2^2100978000 is an apocalyptic number.

2100978000 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 2100978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186312416).

2100978000 is an abundant number, since it is smaller than the sum of its proper divisors (6271646832).

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

2100978000 is a wasteful number, since it uses less digits than its factorization.

2100978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2100978000 is about 45836.4265622878. The cubic root of 2100978000 is about 1280.7779288053. Note that the first 3 decimals are identical.

It can be divided in two parts, 2100 and 978000, that added together give a square (980100 = 990²).

The spelling of 2100978000 in words is "two billion, one hundred million, nine hundred seventy-eight thousand".