2874690000 has 900 divisors, whose sum is σ = 12901945056. Its totient is φ = 606528000.

The previous prime is 2874689941. The next prime is 2874690001. The reversal of 2874690000 is 964782.

2874690000 = 48³ + 49³ + ... + 327³.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×2874690000² = 16527685192200000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874690001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 221129994 + ... + 221130006.

Almost surely, 2^2874690000 is an apocalyptic number.

2874690000 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 2874690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450972528).

2874690000 is an abundant number, since it is smaller than the sum of its proper divisors (10027255056).

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

2874690000 is an equidigital number, since it uses as much as digits as its factorization.

2874690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2874690000 is about 53616.1356309833. The cubic root of 2874690000 is about 1421.8823809141.

The spelling of 2874690000 in words is "two billion, eight hundred seventy-four million, six hundred ninety thousand".