2142887400 has 480 divisors, whose sum is σ = 8166977280. Its totient is φ = 518400000.

The previous prime is 2142887399. The next prime is 2142887419. The reversal of 2142887400 is 47882412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8537275 + ... + 8537525.

It is an arithmetic number, because the mean of its divisors is an integer number (17014536).

Almost surely, 2^2142887400 is an apocalyptic number.

2142887400 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 2142887400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083488640).

2142887400 is an abundant number, since it is smaller than the sum of its proper divisors (6024089880).

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

2142887400 is a wasteful number, since it uses less digits than its factorization.

2142887400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2142887400 is about 46291.3318019691. The cubic root of 2142887400 is about 1289.2380573460.

The spelling of 2142887400 in words is "two billion, one hundred forty-two million, eight hundred eighty-seven thousand, four hundred".