2654562240 has 896 divisors, whose sum is σ = 11376599040. Its totient is φ = 575078400.

The previous prime is 2654562233. The next prime is 2654562259. The reversal of 2654562240 is 422654562.

2654562240 is a `hidden beast` number, since 2 + 6 + 54 + 562 + 2 + 40 = 666.

2654562240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 2654562195 and 2654562204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50086054 + ... + 50086106.

Almost surely, 2^2654562240 is an apocalyptic number.

2654562240 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 2654562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688299520).

2654562240 is an abundant number, since it is smaller than the sum of its proper divisors (8722036800).

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

2654562240 is a wasteful number, since it uses less digits than its factorization.

2654562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2654562240 is about 51522.4440414078. Note that the first 3 decimals coincide. The cubic root of 2654562240 is about 1384.6211808304.

The spelling of 2654562240 in words is "two billion, six hundred fifty-four million, five hundred sixty-two thousand, two hundred forty".