2141738400 has 72 divisors (see below), whose sum is σ = 6971366304. Its totient is φ = 571129600.

The previous prime is 2141738383. The next prime is 2141738407. The reversal of 2141738400 is 48371412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2141738407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443796 + ... + 448595.

It is an arithmetic number, because the mean of its divisors is an integer number (96824532).

Almost surely, 2^2141738400 is an apocalyptic number.

2141738400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141738400 is an abundant number, since it is smaller than the sum of its proper divisors (4829627904).

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

2141738400 is a wasteful number, since it uses less digits than its factorization.

2141738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892414 (or 892401 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2141738400 is about 46278.9196070954. The cubic root of 2141738400 is about 1289.0075895875.

The spelling of 2141738400 in words is "two billion, one hundred forty-one million, seven hundred thirty-eight thousand, four hundred".