2156394240 has 1296 divisors, whose sum is σ = 10687045824. Its totient is φ = 389283840.

The previous prime is 2156394239. The next prime is 2156394241. The reversal of 2156394240 is 424936512.

It is a happy number.

2156394240 is a `hidden beast` number, since 2 + 1 + 563 + 94 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2156394239) and next prime (2156394241).

It is a super-3 number, since 3×2156394240³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 2156394195 and 2156394204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156394241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126846712 + ... + 126846728.

Almost surely, 2^2156394240 is an apocalyptic number.

2156394240 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 2156394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343522912).

2156394240 is an abundant number, since it is smaller than the sum of its proper divisors (8530651584).

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

2156394240 is a wasteful number, since it uses less digits than its factorization.

2156394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2156394240 is about 46436.9921506551. The cubic root of 2156394240 is about 1291.9411194719.

The spelling of 2156394240 in words is "two billion, one hundred fifty-six million, three hundred ninety-four thousand, two hundred forty".