2137674240 has 600 divisors, whose sum is σ = 8426651508. Its totient is φ = 517570560.

The previous prime is 2137674221. The next prime is 2137674251. The reversal of 2137674240 is 424767312.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 2136658176 = 1008^2 + 46224^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2137674195 and 2137674204.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35043810 + ... + 35043870.

Almost surely, 2^2137674240 is an apocalyptic number.

2137674240 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 2137674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213325754).

2137674240 is an abundant number, since it is smaller than the sum of its proper divisors (6288977268).

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

2137674240 is an equidigital number, since it uses as much as digits as its factorization.

2137674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2137674240 is about 46234.9893478954. The cubic root of 2137674240 is about 1288.1917336059.

The spelling of 2137674240 in words is "two billion, one hundred thirty-seven million, six hundred seventy-four thousand, two hundred forty".