2154909240 has 192 divisors, whose sum is σ = 7679318400. Its totient is φ = 519724800.

The previous prime is 2154909233. The next prime is 2154909311. The reversal of 2154909240 is 429094512.

2154909240 is a `hidden beast` number, since 21 + 549 + 0 + 92 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 46421²-1.

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 = 2154909195 and 2154909204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834271 + ... + 836849.

It is an arithmetic number, because the mean of its divisors is an integer number (39996450).

Almost surely, 2^2154909240 is an apocalyptic number.

2154909240 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 2154909240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839659200).

2154909240 is an abundant number, since it is smaller than the sum of its proper divisors (5524409160).

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

2154909240 is a wasteful number, since it uses less digits than its factorization.

2154909240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2154909240 is about 46420.9999892290. Note that the first 4 decimals coincide. The cubic root of 2154909240 is about 1291.6444864639.

The spelling of 2154909240 in words is "two billion, one hundred fifty-four million, nine hundred nine thousand, two hundred forty".