2151455040 has 224 divisors, whose sum is σ = 8674364160. Its totient is φ = 491747328.

The previous prime is 2151455017. The next prime is 2151455069. The reversal of 2151455040 is 405541512.

2151455040 is a `hidden beast` number, since 2 + 15 + 145 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2151454995 and 2151455013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42694 + ... + 78266.

It is an arithmetic number, because the mean of its divisors is an integer number (38724840).

Almost surely, 2^2151455040 is an apocalyptic number.

2151455040 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 2151455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337182080).

2151455040 is an abundant number, since it is smaller than the sum of its proper divisors (6522909120).

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

2151455040 is a wasteful number, since it uses less digits than its factorization.

2151455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35606 (or 35590 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2151455040 is about 46383.7799235897. The cubic root of 2151455040 is about 1290.9539725548.

Adding to 2151455040 its reverse (405541512), we get a palindrome (2556996552).

The spelling of 2151455040 in words is "two billion, one hundred fifty-one million, four hundred fifty-five thousand, forty".